## Interference effect of dual diffractive cylindrical microlenses analyzed by rigorous electromagnetic theory

JOSA A, Vol. 18, Issue 3, pp. 526-536 (2001)

http://dx.doi.org/10.1364/JOSAA.18.000526

Acrobat PDF (1804 KB)

### Abstract

The interference effect between dual diffractive cylindrical microlenses is investigated based on the boundary-element method. The interference patterns and intensity distributions of the near field and the middle-distance field are presented. The influence of various factors such as the wavelength of illuminating light, the size of the individual microlens, the beam aperture of the incident light, the preset focal length, and the refractive index of microlens material, on the interference results is studied in detail. The results demonstrate that the interference effect is dependent on the spacing between dual microlenses and surface-relief structures. We also indicate how to diminish the interference effect. It is believed that this work will provide useful information for designing diffractive microlens arrays with submicrometer-scale dimensions.

© 2001 Optical Society of America

**OCIS Codes**

(050.1970) Diffraction and gratings : Diffractive optics

**Citation**

Juan Liu, Ben-Yuan Gu, Bi-Zhen Dong, and Guo-Zhen Yang, "Interference effect of dual diffractive cylindrical microlenses analyzed by rigorous electromagnetic theory," J. Opt. Soc. Am. A **18**, 526-536 (2001)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-3-526

Sort: Year | Journal | Reset

### References

- J. M. Bendickson, E. N. Glytsis, and T. K. Gaylord, “Scalar integral diffraction methods: unification, accuracy, and comparison with a rigorous boundary element method with application to diffractive cylindrical lenses,” J. Opt. Soc. Am. A 15, 1822–1837 (1998).
- K. Hirayama, E. N. Glytsis, T. K. Gaylord, and D. W. Wilson, “Rigorous electromagnetic analysis of diffractive cylindrical lenses,” J. Opt. Soc. Am. A 13, 2219–2231 (1996).
- J. M. Bendickson, E. N. Glytsis, and T. K. Gaylord, “Metallic surface-relief on-axis and off-axis focusing diffractive cylindrical mirrors,” J. Opt. Soc. Am. A 16, 113–130 (1999).
- K. Hirayama, K. Igarashi, Y. Hayashi, E. N. Glytsis, and T. K. Gaylord, “Finite-substrate-thickness cylindrical diffractive lenses: exact and approximate boundary-element methods,” J. Opt. Soc. Am. A 16, 1294–1302 (1999).
- V. P. Koronkevich and I. G. Pal’chikova, “Modern zone plates,” Avtometriya 1, 85–100 (1992).
- V. Moreno, J. F. Roman, and J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65, 556–562 (1997).
- A. Wang and A. Prata, “Lenslet analysis by rigorous vector diffraction theory,” J. Opt. Soc. Am. A 12, 1161–1169 (1995).
- P. Blattner and H. P. Herzig, “Rigorous diffraction theory applied to microlenses,” J. Mod. Opt. 45, 1395–1403 (1998).
- D. W. Prather, S. Shi, and J. S. Bergey, “Field stitching algorithm for the analysis of electrically large diffractive optical elements,” Opt. Lett. 24, 273–275 (1999).
- D. W. Prather, M. S. Mirotznik, and J. N. Mait, “Boundary integral methods applied to the analysis of diffractive optical elements,” J. Opt. Soc. Am. A 14, 34–43 (1997).
- D. W. Prather, J. N. Mait, M. S. Mirotznik, and J. P. Collins, “Vector-based synthesis of finite aperiodic subwavelength diffractive optical elements,” J. Opt. Soc. Am. A 15, 1599–1607 (1998).
- M. S. Mirotznik, D. W. Prather, and J. N. Mait, “A hybrid finite element-boundary element method for the analysis of diffractive elements,” J. Mod. Opt. 43, 1309–1321 (1996).
- B. Lichtenberg and N. C. Gallagher, “Numerical modeling of diffractive devices using the finite element method,” Opt. Eng. 33, 3518–3526 (1994).
- E. Noponen, J. Turunen, and A. Vasara, “Electromagnetic theory and design of diffractive-lens arrays,” J. Opt. Soc. Am. A 10, 434–443 (1993).
- Y. Nakata and M. Koshiba, “Boundary-element analysis of plane-wave diffraction from groove-type dielectric and metallic gratings,” J. Opt. Soc. Am. A 7, 1494–1502 (1990).
- J. N. Mait, “Understanding diffractive optic design in the scalar domain,” J. Opt. Soc. Am. A 12, 2145–2158 (1995).
- D. A. Pommet, M. G. Moharam, and E. B. Grann, “Limits of scalar diffraction theory for diffractive phase elements,” J. Opt. Soc. Am. A 11, 1827–1837 (1994).
- S. Kagami and I. Fukai, “Application of boundary-element method to electromagnetic field problems,” IEEE Trans. Microwave Theory Tech. MTT-32, 455–461 (1984).
- K. Yashiro and S. Ohkawa, “Boundary-element method for electromagnetic field problems,” IEEE Trans. Antennas Propag. AP-33, 383–389 (1985).
- M. Koshiba, Optical Waveguide Theory by the Finite Element Method (KTK Scientific, Tokyo, 1992), pp. 43–47.
- J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, Calif., 1968), Chaps. 3, 4, and 6.
- R. Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980), Chap. 6.

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.